Online Parameter Identification of a Fractional Order Model

Stark, Oliver; Kupper, Martin; Krebs, Stefan; Hohmann, Sören

doi:10.1109/cdc.2018.8619723

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…which is stated in [22]. The identification of the modulating function method for a fractional model with initialized derivative operators results in…”

Section: Modulating Function Methods and Identification Equationmentioning

confidence: 99%

“…The derivatives of the model ( 4) are considered to be described by the fractional operator of Riemann-Liouville. Applying the modulating function method, the derivative type changes to the Caputo definition for the modulating function [22]. Therefore, the approach can be formulated using the Grünwald-Letnikov derivative, and the Caputo definition has to be replaced by the Grünwald-Letnikov definition.…”

Section: Modulating Function Methods and Identification Equationmentioning

confidence: 99%

“…This advantage is at the cost of the modulating function fulfilling property (P3) in addition to (P1) and (P2). In [22], they proved that the spline-type modulating function also fulfilled property (P3). Definition 5.…”

Section: Choice Of Modulating Functionmentioning

confidence: 95%

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Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery

2021

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This paper deals with a method for the parameter and order identification of a fractional model. In contrast to existing approaches that can either handle noisy observations of the output signal or systems that are not at rest, the proposed method does not have to compromise between these two characteristics. To handle systems that are not at rest, the parameter, as well as the order identification, are based on the modulating function method. The novelty of the proposed method is that an optimization-based approach is used for the order identification. Thus, even if only noisy observations of the output signal are available, an approximate identification can be performed. The proposed identification method is, then, applied to identify the parameters and orders of a lithium-ion battery model. The experimental results illustrate the practical usefulness and verify the validity of our approach.

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“…which is stated in [22]. The identification of the modulating function method for a fractional model with initialized derivative operators results in…”

Section: Modulating Function Methods and Identification Equationmentioning

confidence: 99%

Section: Modulating Function Methods and Identification Equationmentioning

confidence: 99%